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Finding the Fourth Proportional to 10,457.37, 15,695.10 and 5,530.14

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Solution

The fourth proportional to 10,457.37, 15,695.10 and 5,530.14 is: 8,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.37 : 15,695.10 = 5,530.14 : x
  2. Step 2: Convert to fraction form
    10,457.37/15,695.10 = 5,530.14/x
  3. Step 3: Cross multiply
    10,457.37x = 15,695.10 × 5,530.14
  4. Step 4: Simplify right side
    10,457.37x = 86,796,100.31
  5. Step 5: Solve for x
    x = 86,796,100.31/10,457.37
  6. Step 6: Final answer
    x = 8,299.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.